A nonlinear iterative deconvolution method and system. In one embodiment, the
system
comprises a data acquisition module, a storage module, and a processing module.
The data acquisition module obtains logging data from measurements made by a sensor
tool moving through a borehole, and stores the logging data in the storage module.
The processing module processes the logging data to determine a formation model
by iteratively updating a set of formation model values which correspond to a set
of positions along the borehole. The iterative updating includes (i) calculating
an error value; and (ii) applying a linearizing factor to the error value. The
iterative updating may be expressible as a weighted sum of a current formation
model value with a product of the error value and the linearizing factor. The iterative
updating may continue until an adequate match between the logging data and a calculated
tool response is achieved.